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Popular >

expand (m+3n)^2

Solution

expand

(m + 3 n)^{2}

Solution

m^{2} + 6 mn + 9 n^{2}

Solution steps

(m + 3 n)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(m + 3 n)^{2} = m^{2} + 2 m \cdot 3 n + (3 n)^{2}

= m^{2} + 2 m \cdot 3 n + (3 n)^{2}

Simplify

m^{2} + 2 m \cdot 3 n + (3 n)^{2} : m^{2} + 6 mn + 9 n^{2}

= m^{2} + 6 mn + 9 n^{2}

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Frequently Asked Questions (FAQ)

What is expand (m+3n)^2 ?
The solution to expand (m+3n)^2 is m^2+6mn+9n^2